Chapter 1.1, Problem 8LC

To determine

Find the total cost to rent a truck drive $nmiles$ .

Answer to Problem 8LC

  $49+0.75n$

Explanation of Solution

Given information:

  $49n+0.75or49+0.75n$

  

Calculation:

Here, we will consider the following table:

  $\begin{array}{ll}Numberofmiles\hfill & Cost\hfill \\ 1\hfill & \$49+\left(\$0.75\times 1\right)\hfill \\ 2\hfill & \$49+\left(\$0.75\times 2\right)\hfill \\ 3\hfill & \$49+\left(\$0.75\times 3\right)\hfill \\ n\hfill & \mathrm{.....}\hfill \end{array}$

Now, the given expressions are:

  $49n+0.75or49+0.75n$

Now, from the above table we can conclude that:

  $\$49$ is constant for any number of miles.

  $\$0.75$ keeps on changing with number of miles.

Now, for $n$ number of miles, the expression will be:

  $\begin{array}{l}\$49+\left(\$0.75\times n\right)\\ =\$49+\$0.75n\end{array}$

The above expression can be written as:

  $49+0.75n$

Hence, the required expression is $49+0.75n$ .